Two-dimensional sliding frictional contact mechanics of functionally graded materials with arbitrary spatial variations of material properties

Liao-Liang Ke; Yue-Sheng Wang

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Two-dimensional sliding frictional contact mechanics of functionally graded materials with arbitrary spatial variations of material properties

Liao-Liang Ke,Yue-Sheng Wang * #

Beijing Jiaotong University

*Correspondence author

#Submitted by

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Funding: 教育部博士点基金，国家自然科学基金，Key Scientific Project of BJTU（No.20020004005，10572019，2003SZ008）

Opened online:14 December 2005

Accepted by: none

Citation: Liao-Liang Ke,Yue-Sheng Wang.Two-dimensional sliding frictional contact mechanics of functionally graded materials with arbitrary spatial variations of material properties[OL]. [14 December 2005] http://en.paper.edu.cn/en_releasepaper/content/4373

A multi-layered model for sliding frictional contact analysis of functionally graded materials (FGMs) with arbitrarily varying elastic modulus under plane strain-state deformation has been developed. Based on the fact that an arbitrary curve can be approached by a series of continuous but piecewise linear curves, the FGM is divided into several sub-layers and in each sub-layers the shear modulus is assumed to be a linear function while the Possion’s ratio is assumed to be a constant. On the contact area, it is assumed that the friction is one of Coulomb type. With this model the fundamental solutions for concentrated forces acting perpendicular and parallel to the FGMs layer surface are obtained. Then the sliding frictional contact problem of a functionally graded coated half-space is investigated. The transfer matrix method and Fourier integral transform technique are employed to cast the problem to a Cauchy singular integral equation. The contact stresses and contact area are calculated for various moving stamps by solving the equations numerically.

Keywords:Contact mechanics; Functionally graded materials; Friction; Plane strain-state; Coating

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